Group-based cryptography

How difficult it is to construct a group-based cryptography?

  1. http://www.springer.com/birkhauser/mathematics/book/978-3-7643-8826-3
  2. http://www.sci.ccny.cuny.edu/~shpil/book_cryp_50.pdf
  3. http://homepages.cwi.nl/~hofheinz/pdf/metabelian.pdf
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